The probability distribution function of a random variable X is defined as, ſ(0+1)xª f(x)= 0≤x≤1 otherwise Find the Maximum likelihood estimator (MLE) of 0, based on a random sample of size n.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The probability distribution function of a random variable X is defined as,
1(x) = {(0+1)x²
Find the Maximum likelihood estimator (MLE) of 0, based on a random sample of size n.
Answer Choices:
a. 0
b. =
C.
d.
ô=
11
n
(Σln(x₂)
1
In (x₂)
n
Σln(x₂)
8= {₁-
0≤x≤1
otherwise
+ 1}
n
ΣΕ In(x₂)
Transcribed Image Text:The probability distribution function of a random variable X is defined as, 1(x) = {(0+1)x² Find the Maximum likelihood estimator (MLE) of 0, based on a random sample of size n. Answer Choices: a. 0 b. = C. d. ô= 11 n (Σln(x₂) 1 In (x₂) n Σln(x₂) 8= {₁- 0≤x≤1 otherwise + 1} n ΣΕ In(x₂)
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